This book offers a captivating exploration of the intersection between mathematics, chaos theory, and dynamical systems through the personal journeys of twelve renowned mathematicians and physicists from China, Europe, Russia, and the USA.
This book offers a captivating exploration of the intersection between mathematics, chaos theory, and dynamical systems through the personal journeys of twelve renowned mathematicians and physicists from China, Europe, Russia, and the USA.
René Lozi is Emeritus Professor at University Cote d'Azur, France and Vice-President of the International Society of Difference Equations. His research areas include complexity and emergence theory, dynamical systems, bifurcations, control of chaos, cryptography based on chaos, and memristors. Safwan El Assad is Professor at Polytech Nantes, France. Between 1988 to 2005, his research activities concerned radar imagery and digital communications. Nowadays his research largely focuses on chaos-based cryptography, encryption, crypto-compression, steganography, hash functions, authenticated encryption. Mohammed-Salah Abdelouahab is Professor at Abdelhafid Boussouf University Center of Mila, Algeria. He is the head of the research team in fractional calculus and its applications at the laboratory of mathematics and their interactions and the editor-in-chief of the Journal of Innovative Applied Mathematics and Computational Sciences.
Inhaltsangabe
Introduction: Dynamical systems: Paths of Twelve Mathematicians and Physicists toward the Chaos and its applications 1. The paths of nine mathematicians to the realm of dynamical systems 2. Two more mathematicians and one physicist tell what motivated their careers and how they began 3. Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller 4. Nonlinear dynamics and hyperchaos in a modified memristor-based Chua's circuit and its generalized discrete system 5. Memristor-based Gauss chaotic maps with hidden/self-exited dynamics 6. Enhanced design and hardware implementation of a chaos-based block cipher for image protection 7. On secure communication scheme-based mixed discrete-time hyperchaotic systems 8. On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator 9. The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil 10. Chaotic attractors captured from remote sensing time series for the dynamics of cereal crops 11. Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions
Introduction: Dynamical systems: Paths of Twelve Mathematicians and Physicists toward the Chaos and its applications 1. The paths of nine mathematicians to the realm of dynamical systems 2. Two more mathematicians and one physicist tell what motivated their careers and how they began 3. Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller 4. Nonlinear dynamics and hyperchaos in a modified memristor-based Chua's circuit and its generalized discrete system 5. Memristor-based Gauss chaotic maps with hidden/self-exited dynamics 6. Enhanced design and hardware implementation of a chaos-based block cipher for image protection 7. On secure communication scheme-based mixed discrete-time hyperchaotic systems 8. On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator 9. The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil 10. Chaotic attractors captured from remote sensing time series for the dynamics of cereal crops 11. Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions
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